What is the magnitude of
→
v
=4
→
i
−10
→
j
?

PRC95

Question

What is the magnitude of 
→
v
=4
→
i
−10
→
j
?

PRC95

BlackTom AI · Accepted Answer

The problem asks for the magnitude of the vector v = 4i − 10j. 
First, recognize this as a two-dimensional vector with components (4, −10). 
To find the magnitude, apply the Euclidean norm: sqrt( (4)^2 + (−10)^2 ).
Compute the squares: 4^2 = 16 and (−10)^2 = 100, then add them to get 116. 
Take the square root of 116, which is approximately 10.770... .
Rounding to two decimal places yields about 10.77. 
Note: The provided data shows an answer of 10.77, which aligns with the computed magnitude. 
There are no answer options listed in the prompt to evaluate for accuracy or to compare alternatives, so no option-by-option analysis can be performed beyond confirming the computed result. 
If options were present, each choice would be assessed by whether it matches sqrt(116) ≈ 10.77 or represents an incorrect application of the magnitude formula. In this case, the result 10.77 is consistent with the standard magnitude calculation for a vector with components (4, −10).

Pre-Calculus(Wenkai Unit 9 Homework

What is the magnitude of → v =4 → i −10 → j ? PRC95

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